Cryptography Reference
In-Depth Information
[26] H. Cohen, A. Miyaji, and T. Ono. E cient elliptic curve exponentiation
using mixed coordinates. In Advances in cryptology—ASIACRYPT'98
(Beijing) , volume 1514 of Lecture Notes in Comput. Sci. , pages 51-65.
Springer-Verlag, Berlin, 1998.
[27] H. Cohen, G. Frey, R. Avanzi, C. Doche, T. Lange, K. Nguyen, and
F. Vercauteren, editors. Handbook of elliptic and hyperelliptic curve
cryptography Chapman & Hall/CRC, Boca Raton, 2005.
[28] I. Connell. Addendum to a paper of K. Harada and M.-L. Lang: “Some
elliptic curves arising from the Leech lattice” [ J. Algebra 125 (1989), no.
2, 298-310]; J. Algebra , 145(2): 463-467, 1992.
[29] G. Cornell, J. H. Silverman, and G. Stevens, editors. Modular forms
and Fermat's last theorem . Springer-Verlag, New York, 1997. Papers
from the Instructional Conference on Number Theory and Arithmetic
Geometry held at Boston University, Boston, MA, August 9-18, 1995.
[30] D. A. Cox. The arithmetic-geometric mean of Gauss. Enseign. Math.
(2) , 30(3-4):275-330, 1984.
[31] J. Cremona. Algorithms for modular elliptic curves, (2nd ed.). Cam-
bridge University Press, 1997.
[32] H. Darmon, F. Diamond, and R. Taylor. Fermat's last theorem. In
Current developments in mathematics, 1995 (Cambridge, MA) , pages
1-154. Internat. Press, Cambridge, MA, 1994.
[33] M. Deuring. Die Typen der Multiplikatorenringe elliptischer Funktio-
nenkorper. Abh. Math. Sem. Hamburg , 14:197-272, 1941.
[34] L. E. Dickson. History of the theory of numbers. Vol. II: Diophantine
analysis . Chelsea Publishing Co., New York, 1966.
[35] D. Doud. A procedure to calculate torsion of elliptic curves over Q .
Manuscripta Math. , 95(4):463-469, 1998.
[36] H. M. Edwards. A normal form for elliptic curves. Bull. Amer. Math.
Soc. (N.S.) , 44(3): 393-422, 2007.
[37] N. D. Elkies. The existence of infinitely many supersingular primes for
every elliptic curve over Q . Invent. Math. , 89(3):561-567, 1987.
[38] A. Enge. Elliptic curves and their applications to cryptography: An
introduction . Kluwer Academic Publishers, Dordrecht, 1999.
[39] E. Fouvry and M. Ram Murty. On the distribution of supersingular
primes. Canad. J. Math. , 48(1): 81-104, 1996.
[40] G. Frey, M. Muller, and H.-G. Ruck. The Tate pairing and the discrete
logarithm applied to elliptic curve cryptosystems. IEEE Trans. Inform.
Theory , 45(5):1717-1719, 1999.
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